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@article{Crowdy:2019:10.1017/jfm.2019.502,
author = {Crowdy, D and Krishnamurthy, V and Wheeler, M and Constantin, A},
doi = {10.1017/jfm.2019.502},
journal = {Journal of Fluid Mechanics},
pages = {R1--1--R1--11},
title = {Steady point vortex pair in a field of Stuart-type vorticity},
url = {http://dx.doi.org/10.1017/jfm.2019.502},
volume = {874},
year = {2019}
}

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TY  - JOUR
AB  - A new family of exact solutions to the two-dimensional steady incompressible Eulerequation is presented. The solutions provide a class of hybrid equilibria comprisingtwo point vortices of unit circulation – a point vortex pair – embedded in a smooth seaof non-zero vorticity of ‘Stuart-type’ so that the vorticity ω and the stream functionψ are related by ω = aebψ − δ(x − x0) − δ(x + x0), where a and b are constants. Wealso examine limits of these new Stuart-embedded point vortex equilibria where theStuart-type vorticity becomes localized into additional point vortices. One such limitresults in a two-real-parameter family of smoothly deformable point vortex equilibriain an otherwise irrotational flow. The new class of hybrid equilibria can be viewedas continuously interpolating between the limiting pure point vortex equilibria. Atthe same time the new solutions continuously extrapolate a similar class of hybridequilibria identified by Crowdy (Phys. Fluids, vol. 15, 2003, pp. 3710–3717).
AU  - Crowdy,D
AU  - Krishnamurthy,V
AU  - Wheeler,M
AU  - Constantin,A
DO  - 10.1017/jfm.2019.502
EP  - 1
PY  - 2019///
SN  - 0022-1120
SP  - 1
TI  - Steady point vortex pair in a field of Stuart-type vorticity
T2  - Journal of Fluid Mechanics
UR  - http://dx.doi.org/10.1017/jfm.2019.502
UR  - https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/steady-point-vortex-pair-in-a-field-of-stuarttype-vorticity/7C2C33A14EF3B9E494EB36792B707B35
UR  - http://hdl.handle.net/10044/1/71637
VL  - 874
ER  -

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